Automatic Two-Plane Balancing for Rigid Rotors
DJ Rodrigues, AR Champneys, MI Friswell & RE Wilson (University of Bristol)
International Journal of Non-linear Mechanics, Vol. 43, No. 6, July 2008, pp. 527-541
We present an analysis of a two-plane automatic balancing device for rigid rotors. Ball bearings, which are free to travel around a race, are used to eliminate imbalance due to shaft eccentricity or misalignment. The rotating frame is used to derive autonomous equations of motion and the symmetry breaking bifurcations of this system are investigated. Stability diagrams in various parameter planes show the coexistence of a stable balanced state with other less desirable dynamics.
This material has been published in International Journal of Non-linear Mechanics, Vol. 43, No. 6, July 2008, pp. 527-541, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier. This material may not be copied or reposted without explicit permission.
Link to paper using doi:10.1016/j.ijnonlinmec.2008.01.002
Link to the International Journal of Non-linear Mechanics